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TitleDeducing the constraints in the light-cone $SU(3)$ Yang-Mills mechanics via Gr\"obner bases.
Author(s) Khvedelidze Arsen, Vladimir P. Gerdt, Palii Yuri
TypeBook, Chapter in Book, Conference Proceeding
AbstractThe algorithmic methods of commutative algebra based on the Gröbner bases technique are briefly sketched out in the context of an application to the constrained finite dimensional polynomial Hamiltonian systems. The effectiveness of the proposed algorithms and their implementation in Mathematica is demonstrated for the light-cone version of the SU(3) Yang-Mills mechanics. The special homogeneous Gröbner basis is constructed that allow us to find and classify the complete set of constraints the model possesses.
ISBN978-3-540-75186-1/pbk
URL http://link.springer.com/chapter/10.1007%2F978-3-540-75187-8_12
LanguageEnglish
Pages145--159
PublisherBerlin: Springer
Year2007
Edition0
Translation No
Refereed No
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